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Finding the Fourth Proportional to 305.31, 460.67 and 291.99

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Solution

The fourth proportional to 305.31, 460.67 and 291.99 is: 440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.31 : 460.67 = 291.99 : x
  2. Step 2: Convert to fraction form
    305.31/460.67 = 291.99/x
  3. Step 3: Cross multiply
    305.31x = 460.67 × 291.99
  4. Step 4: Simplify right side
    305.31x = 134,511.76
  5. Step 5: Solve for x
    x = 134,511.76/305.31
  6. Step 6: Final answer
    x = 440.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.